Left ideals and derivations in semiprime rings.

DOI10.1016/j.jalgebra.2003.09.024zbMath1069.16040OpenAlexW1972292191MaRDI QIDQ1882884

Charles Lanski

Publication date: 1 October 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.09.024

zbMATH Keywords

commutativity theoremsderivationssemiprime ringsprime ringscentral ideals

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Generalizations of commutativity (associative rings and algebras) (16U80) Derivations, actions of Lie algebras (16W25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (14)

A note on prime ring with generalized derivation ⋮ An Engel condition with two generalized derivations on Lie ideals of prime rings ⋮ An Engel condition with skew derivations for one-sided ideals ⋮ On one sided ideals of a semiprime ring with generalized derivations. ⋮ On Lie ideals and automorphisms in prime rings ⋮ Some identities on automorphisms in prime rings ⋮ An Engel condition withb-generalized derivations ⋮ Derivations cocentralizing multilinear polynomials on left ideals. ⋮ Certain basic functional identities of semiprime rings ⋮ An Engel condition with two generalized derivations in prime rings ⋮ Strong commutativity-preserving generalized derivations on semiprime rings. ⋮ On $m$-commuting mappings with skew derivations in prime rings ⋮ An Engel condition with skew derivations. ⋮ An Engel condition with b-generalized derivations for Lie ideals

Cites Work

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• Differential identities of prime rings
• Differential identities, Lie ideals, and Posner's theorems
• Centralizing mappings and derivations in prime rings
• Prime rings satisfying a generalized polynomial identity
• Derivations in Prime Rings
• Correction to "Differential Identities in Prime Rings with Involution"
• Posner's Second Theorem Deduced from the First
• One-Sided Ideals and Derivations of Prime Rings
• An Engel condition with derivation for left ideals
• Centralizing Mappings of Semiprime Rings

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